{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Riskfolio-Lib Tutorial: \n",
    "<br>__[Financionerioncios](https://financioneroncios.wordpress.com)__\n",
    "<br>__[Orenji](https://www.orenj-i.net)__\n",
    "<br>__[Riskfolio-Lib](https://riskfolio-lib.readthedocs.io/en/latest/)__\n",
    "<br>__[Dany Cajas](https://www.linkedin.com/in/dany-cajas/)__\n",
    "<a href='https://ko-fi.com/B0B833SXD' target='_blank'><img height='36' style='border:0px;height:36px;' src='https://cdn.ko-fi.com/cdn/kofi1.png?v=2' border='0' alt='Buy Me a Coffee at ko-fi.com' /></a> \n",
    "\n",
    "## Tutorial 21: Constraints on Return and Risk Measures\n",
    "\n",
    "## 1. Downloading the data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[*********************100%***********************]  25 of 25 completed\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import yfinance as yf\n",
    "import warnings\n",
    "\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "\n",
    "yf.pdr_override()\n",
    "pd.options.display.float_format = '{:.4%}'.format\n",
    "\n",
    "# Date range\n",
    "start = '2016-01-01'\n",
    "end = '2019-12-30'\n",
    "\n",
    "# Tickers of assets\n",
    "assets = ['JCI', 'TGT', 'CMCSA', 'CPB', 'MO', 'APA', 'MMC', 'JPM',\n",
    "          'ZION', 'PSA', 'BAX', 'BMY', 'LUV', 'PCAR', 'TXT', 'TMO',\n",
    "          'DE', 'MSFT', 'HPQ', 'SEE', 'VZ', 'CNP', 'NI', 'T', 'BA']\n",
    "assets.sort()\n",
    "\n",
    "# Downloading data\n",
    "data = yf.download(assets, start = start, end = end)\n",
    "data = data.loc[:,('Adj Close', slice(None))]\n",
    "data.columns = assets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>APA</th>\n",
       "      <th>BA</th>\n",
       "      <th>BAX</th>\n",
       "      <th>BMY</th>\n",
       "      <th>CMCSA</th>\n",
       "      <th>CNP</th>\n",
       "      <th>CPB</th>\n",
       "      <th>DE</th>\n",
       "      <th>HPQ</th>\n",
       "      <th>JCI</th>\n",
       "      <th>...</th>\n",
       "      <th>NI</th>\n",
       "      <th>PCAR</th>\n",
       "      <th>PSA</th>\n",
       "      <th>SEE</th>\n",
       "      <th>T</th>\n",
       "      <th>TGT</th>\n",
       "      <th>TMO</th>\n",
       "      <th>TXT</th>\n",
       "      <th>VZ</th>\n",
       "      <th>ZION</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2016-01-05</th>\n",
       "      <td>-2.0257%</td>\n",
       "      <td>0.4057%</td>\n",
       "      <td>0.4036%</td>\n",
       "      <td>1.9693%</td>\n",
       "      <td>0.0180%</td>\n",
       "      <td>0.9305%</td>\n",
       "      <td>0.3678%</td>\n",
       "      <td>0.5783%</td>\n",
       "      <td>0.9483%</td>\n",
       "      <td>-1.1954%</td>\n",
       "      <td>...</td>\n",
       "      <td>1.5881%</td>\n",
       "      <td>0.0212%</td>\n",
       "      <td>2.8236%</td>\n",
       "      <td>0.9758%</td>\n",
       "      <td>0.6987%</td>\n",
       "      <td>1.7539%</td>\n",
       "      <td>-0.1730%</td>\n",
       "      <td>0.2409%</td>\n",
       "      <td>1.3734%</td>\n",
       "      <td>-1.0857%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-06</th>\n",
       "      <td>-11.4863%</td>\n",
       "      <td>-1.5879%</td>\n",
       "      <td>0.2411%</td>\n",
       "      <td>-1.7557%</td>\n",
       "      <td>-0.7727%</td>\n",
       "      <td>-1.2473%</td>\n",
       "      <td>-0.1736%</td>\n",
       "      <td>-1.1239%</td>\n",
       "      <td>-3.5867%</td>\n",
       "      <td>-0.9551%</td>\n",
       "      <td>...</td>\n",
       "      <td>0.5547%</td>\n",
       "      <td>0.0212%</td>\n",
       "      <td>0.1592%</td>\n",
       "      <td>-1.5647%</td>\n",
       "      <td>-0.1466%</td>\n",
       "      <td>-1.0155%</td>\n",
       "      <td>-0.7653%</td>\n",
       "      <td>-3.0048%</td>\n",
       "      <td>-0.9034%</td>\n",
       "      <td>-2.9145%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-07</th>\n",
       "      <td>-5.1389%</td>\n",
       "      <td>-4.1922%</td>\n",
       "      <td>-1.6573%</td>\n",
       "      <td>-2.7699%</td>\n",
       "      <td>-1.1047%</td>\n",
       "      <td>-1.9769%</td>\n",
       "      <td>-1.2207%</td>\n",
       "      <td>-0.8855%</td>\n",
       "      <td>-4.6059%</td>\n",
       "      <td>-2.5394%</td>\n",
       "      <td>...</td>\n",
       "      <td>-2.2066%</td>\n",
       "      <td>-3.0309%</td>\n",
       "      <td>-1.0410%</td>\n",
       "      <td>-3.1557%</td>\n",
       "      <td>-1.6148%</td>\n",
       "      <td>-0.2700%</td>\n",
       "      <td>-2.2845%</td>\n",
       "      <td>-2.0570%</td>\n",
       "      <td>-0.5492%</td>\n",
       "      <td>-3.0019%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-08</th>\n",
       "      <td>0.2737%</td>\n",
       "      <td>-2.2705%</td>\n",
       "      <td>-1.6037%</td>\n",
       "      <td>-2.5425%</td>\n",
       "      <td>0.1099%</td>\n",
       "      <td>-0.2241%</td>\n",
       "      <td>0.5707%</td>\n",
       "      <td>-1.6402%</td>\n",
       "      <td>-1.7641%</td>\n",
       "      <td>-0.1649%</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.1539%</td>\n",
       "      <td>-1.1366%</td>\n",
       "      <td>-0.7308%</td>\n",
       "      <td>-0.1448%</td>\n",
       "      <td>0.0895%</td>\n",
       "      <td>-3.3839%</td>\n",
       "      <td>-0.1117%</td>\n",
       "      <td>-1.1387%</td>\n",
       "      <td>-0.9719%</td>\n",
       "      <td>-1.1254%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-11</th>\n",
       "      <td>-4.3384%</td>\n",
       "      <td>0.1693%</td>\n",
       "      <td>-1.6851%</td>\n",
       "      <td>-1.0215%</td>\n",
       "      <td>0.0915%</td>\n",
       "      <td>-1.1791%</td>\n",
       "      <td>0.5674%</td>\n",
       "      <td>0.5287%</td>\n",
       "      <td>0.6616%</td>\n",
       "      <td>0.0330%</td>\n",
       "      <td>...</td>\n",
       "      <td>1.6436%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.9869%</td>\n",
       "      <td>-0.1450%</td>\n",
       "      <td>1.2224%</td>\n",
       "      <td>1.4570%</td>\n",
       "      <td>0.5367%</td>\n",
       "      <td>-0.4607%</td>\n",
       "      <td>0.5800%</td>\n",
       "      <td>-1.9919%</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 25 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                 APA       BA      BAX      BMY    CMCSA      CNP      CPB  \\\n",
       "Date                                                                         \n",
       "2016-01-05  -2.0257%  0.4057%  0.4036%  1.9693%  0.0180%  0.9305%  0.3678%   \n",
       "2016-01-06 -11.4863% -1.5879%  0.2411% -1.7557% -0.7727% -1.2473% -0.1736%   \n",
       "2016-01-07  -5.1389% -4.1922% -1.6573% -2.7699% -1.1047% -1.9769% -1.2207%   \n",
       "2016-01-08   0.2737% -2.2705% -1.6037% -2.5425%  0.1099% -0.2241%  0.5707%   \n",
       "2016-01-11  -4.3384%  0.1693% -1.6851% -1.0215%  0.0915% -1.1791%  0.5674%   \n",
       "\n",
       "                 DE      HPQ      JCI  ...       NI     PCAR      PSA  \\\n",
       "Date                                   ...                              \n",
       "2016-01-05  0.5783%  0.9483% -1.1954%  ...  1.5881%  0.0212%  2.8236%   \n",
       "2016-01-06 -1.1239% -3.5867% -0.9551%  ...  0.5547%  0.0212%  0.1592%   \n",
       "2016-01-07 -0.8855% -4.6059% -2.5394%  ... -2.2066% -3.0309% -1.0410%   \n",
       "2016-01-08 -1.6402% -1.7641% -0.1649%  ... -0.1539% -1.1366% -0.7308%   \n",
       "2016-01-11  0.5287%  0.6616%  0.0330%  ...  1.6436%  0.0000%  0.9869%   \n",
       "\n",
       "                SEE        T      TGT      TMO      TXT       VZ     ZION  \n",
       "Date                                                                       \n",
       "2016-01-05  0.9758%  0.6987%  1.7539% -0.1730%  0.2409%  1.3734% -1.0857%  \n",
       "2016-01-06 -1.5647% -0.1466% -1.0155% -0.7653% -3.0048% -0.9034% -2.9145%  \n",
       "2016-01-07 -3.1557% -1.6148% -0.2700% -2.2845% -2.0570% -0.5492% -3.0019%  \n",
       "2016-01-08 -0.1448%  0.0895% -3.3839% -0.1117% -1.1387% -0.9719% -1.1254%  \n",
       "2016-01-11 -0.1450%  1.2224%  1.4570%  0.5367% -0.4607%  0.5800% -1.9919%  \n",
       "\n",
       "[5 rows x 25 columns]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculating returns\n",
    "\n",
    "Y = data[assets].pct_change().dropna()\n",
    "\n",
    "display(Y.head())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Estimating Mean Variance Portfolios\n",
    "\n",
    "### 2.1 Calculating the portfolio that maximizes Sharpe ratio."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "\n",
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       "    }\n",
       "\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>APA</th>\n",
       "      <th>BA</th>\n",
       "      <th>BAX</th>\n",
       "      <th>BMY</th>\n",
       "      <th>CMCSA</th>\n",
       "      <th>CNP</th>\n",
       "      <th>CPB</th>\n",
       "      <th>DE</th>\n",
       "      <th>HPQ</th>\n",
       "      <th>JCI</th>\n",
       "      <th>...</th>\n",
       "      <th>NI</th>\n",
       "      <th>PCAR</th>\n",
       "      <th>PSA</th>\n",
       "      <th>SEE</th>\n",
       "      <th>T</th>\n",
       "      <th>TGT</th>\n",
       "      <th>TMO</th>\n",
       "      <th>TXT</th>\n",
       "      <th>VZ</th>\n",
       "      <th>ZION</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>weights</th>\n",
       "      <td>0.0000%</td>\n",
       "      <td>6.1590%</td>\n",
       "      <td>11.5018%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>8.4807%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>3.8193%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>...</td>\n",
       "      <td>10.8262%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>7.1805%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>4.2738%</td>\n",
       "      <td>0.0000%</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1 rows × 25 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            APA      BA      BAX     BMY   CMCSA     CNP     CPB      DE  \\\n",
       "weights 0.0000% 6.1590% 11.5018% 0.0000% 0.0000% 8.4807% 0.0000% 3.8193%   \n",
       "\n",
       "            HPQ     JCI  ...       NI    PCAR     PSA     SEE       T     TGT  \\\n",
       "weights 0.0000% 0.0000%  ... 10.8262% 0.0000% 0.0000% 0.0000% 0.0000% 7.1805%   \n",
       "\n",
       "            TMO     TXT      VZ    ZION  \n",
       "weights 0.0000% 0.0000% 4.2738% 0.0000%  \n",
       "\n",
       "[1 rows x 25 columns]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import riskfolio.Portfolio as pf\n",
    "\n",
    "# Building the portfolio object\n",
    "port = pf.Portfolio(returns=Y)\n",
    "# Calculating optimum portfolio\n",
    "\n",
    "# Select method and estimate input parameters:\n",
    "\n",
    "method_mu='hist' # Method to estimate expected returns based on historical data.\n",
    "method_cov='hist' # Method to estimate covariance matrix based on historical data.\n",
    "\n",
    "port.assets_stats(method_mu=method_mu, method_cov=method_cov, d=0.94)\n",
    "\n",
    "# Estimate optimal portfolio:\n",
    "\n",
    "model='Classic' # Could be Classic (historical), BL (Black Litterman) or FM (Factor Model)\n",
    "rm = 'MV' # Risk measure used, this time will be variance\n",
    "obj = 'Sharpe' # Objective function, could be MinRisk, MaxRet, Utility or Sharpe\n",
    "hist = True # Use historical scenarios for risk measures that depend on scenarios\n",
    "rf = 0 # Risk free rate\n",
    "l = 0 # Risk aversion factor, only useful when obj is 'Utility'\n",
    "\n",
    "w = port.optimization(model=model, rm=rm, obj=obj, rf=rf, l=l, hist=hist)\n",
    "\n",
    "display(w.T)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.2 Plotting portfolio composition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import riskfolio.PlotFunctions as plf\n",
    "\n",
    "# Plotting the composition of the portfolio\n",
    "\n",
    "ax = plf.plot_pie(w=w, title='Sharpe Mean Variance', others=0.05, nrow=25, cmap = \"tab20\",\n",
    "                  height=6, width=10, ax=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.3 Calculate Efficient Frontier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>APA</th>\n",
       "      <th>BA</th>\n",
       "      <th>BAX</th>\n",
       "      <th>BMY</th>\n",
       "      <th>CMCSA</th>\n",
       "      <th>CNP</th>\n",
       "      <th>CPB</th>\n",
       "      <th>DE</th>\n",
       "      <th>HPQ</th>\n",
       "      <th>JCI</th>\n",
       "      <th>...</th>\n",
       "      <th>NI</th>\n",
       "      <th>PCAR</th>\n",
       "      <th>PSA</th>\n",
       "      <th>SEE</th>\n",
       "      <th>T</th>\n",
       "      <th>TGT</th>\n",
       "      <th>TMO</th>\n",
       "      <th>TXT</th>\n",
       "      <th>VZ</th>\n",
       "      <th>ZION</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>5.2633%</td>\n",
       "      <td>4.3887%</td>\n",
       "      <td>2.1705%</td>\n",
       "      <td>6.9870%</td>\n",
       "      <td>3.2390%</td>\n",
       "      <td>0.0790%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>2.8377%</td>\n",
       "      <td>...</td>\n",
       "      <td>11.4509%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>14.9184%</td>\n",
       "      <td>0.1628%</td>\n",
       "      <td>6.4195%</td>\n",
       "      <td>4.0904%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>8.3446%</td>\n",
       "      <td>0.0001%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.0000%</td>\n",
       "      <td>2.0325%</td>\n",
       "      <td>8.4717%</td>\n",
       "      <td>0.8579%</td>\n",
       "      <td>1.9326%</td>\n",
       "      <td>8.5940%</td>\n",
       "      <td>2.1945%</td>\n",
       "      <td>1.4377%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>1.1060%</td>\n",
       "      <td>...</td>\n",
       "      <td>13.4410%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>9.2132%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>4.1682%</td>\n",
       "      <td>5.5285%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>9.4731%</td>\n",
       "      <td>0.0000%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.0000%</td>\n",
       "      <td>2.8407%</td>\n",
       "      <td>9.3406%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>1.5587%</td>\n",
       "      <td>9.1990%</td>\n",
       "      <td>1.7699%</td>\n",
       "      <td>1.8516%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.2108%</td>\n",
       "      <td>...</td>\n",
       "      <td>14.2140%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>6.5518%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>3.1594%</td>\n",
       "      <td>6.0608%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>9.9971%</td>\n",
       "      <td>0.0000%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.0000%</td>\n",
       "      <td>3.4597%</td>\n",
       "      <td>9.8934%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>1.0711%</td>\n",
       "      <td>9.6311%</td>\n",
       "      <td>1.2504%</td>\n",
       "      <td>2.0914%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>...</td>\n",
       "      <td>14.7829%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>3.9064%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>1.9201%</td>\n",
       "      <td>6.4433%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>10.5067%</td>\n",
       "      <td>0.0000%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.0000%</td>\n",
       "      <td>3.9674%</td>\n",
       "      <td>10.3313%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.5839%</td>\n",
       "      <td>9.9784%</td>\n",
       "      <td>0.6012%</td>\n",
       "      <td>2.2744%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>...</td>\n",
       "      <td>15.1469%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>1.3826%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.5558%</td>\n",
       "      <td>6.7335%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>10.8300%</td>\n",
       "      <td>0.0000%</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 25 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      APA      BA      BAX     BMY   CMCSA     CNP     CPB      DE     HPQ  \\\n",
       "0 0.0000% 0.0000%  5.2633% 4.3887% 2.1705% 6.9870% 3.2390% 0.0790% 0.0000%   \n",
       "1 0.0000% 2.0325%  8.4717% 0.8579% 1.9326% 8.5940% 2.1945% 1.4377% 0.0000%   \n",
       "2 0.0000% 2.8407%  9.3406% 0.0000% 1.5587% 9.1990% 1.7699% 1.8516% 0.0000%   \n",
       "3 0.0000% 3.4597%  9.8934% 0.0000% 1.0711% 9.6311% 1.2504% 2.0914% 0.0000%   \n",
       "4 0.0000% 3.9674% 10.3313% 0.0000% 0.5839% 9.9784% 0.6012% 2.2744% 0.0000%   \n",
       "\n",
       "      JCI  ...       NI    PCAR      PSA     SEE       T     TGT     TMO  \\\n",
       "0 2.8377%  ... 11.4509% 0.0000% 14.9184% 0.1628% 6.4195% 4.0904% 0.0000%   \n",
       "1 1.1060%  ... 13.4410% 0.0000%  9.2132% 0.0000% 4.1682% 5.5285% 0.0000%   \n",
       "2 0.2108%  ... 14.2140% 0.0000%  6.5518% 0.0000% 3.1594% 6.0608% 0.0000%   \n",
       "3 0.0000%  ... 14.7829% 0.0000%  3.9064% 0.0000% 1.9201% 6.4433% 0.0000%   \n",
       "4 0.0000%  ... 15.1469% 0.0000%  1.3826% 0.0000% 0.5558% 6.7335% 0.0000%   \n",
       "\n",
       "      TXT       VZ    ZION  \n",
       "0 0.0000%  8.3446% 0.0001%  \n",
       "1 0.0000%  9.4731% 0.0000%  \n",
       "2 0.0000%  9.9971% 0.0000%  \n",
       "3 0.0000% 10.5067% 0.0000%  \n",
       "4 0.0000% 10.8300% 0.0000%  \n",
       "\n",
       "[5 rows x 25 columns]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "points = 50 # Number of points of the frontier\n",
    "\n",
    "frontier = port.efficient_frontier(model=model, rm=rm, points=points, rf=rf, hist=hist)\n",
    "\n",
    "display(frontier.T.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting the efficient frontier in Std. Dev. dimension\n",
    "\n",
    "label = 'Max Risk Adjusted Return Portfolio' # Title of point\n",
    "mu = port.mu # Expected returns\n",
    "cov = port.cov # Covariance matrix\n",
    "returns = port.returns # Returns of the assets\n",
    "\n",
    "ax = plf.plot_frontier(w_frontier=frontier, mu=mu, cov=cov, returns=returns, rm=rm,\n",
    "                       rf=rf, alpha=0.05, cmap='viridis', w=w, label=label,\n",
    "                       marker='*', s=16, c='r', height=6, width=10, ax=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting the efficient frontier in CVaR dimension\n",
    "\n",
    "ax = plf.plot_frontier(w_frontier=frontier, mu=mu, cov=cov, returns=returns, rm='CVaR',\n",
    "                       rf=rf, alpha=0.05, cmap='viridis', w=w, label=label,\n",
    "                       marker='*', s=16, c='r', height=6, width=10, ax=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that in this case, the efficient frontier made using mean-variance optimization has a similar form when we plot it using CVaR as risk measure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting the efficient frontier in Max Drawdown dimension\n",
    "\n",
    "ax = plf.plot_frontier(w_frontier=frontier, mu=mu, cov=cov, returns=returns, rm='MDD',\n",
    "                       rf=rf, alpha=0.05, cmap='viridis', w=w, label=label,\n",
    "                       marker='*', s=16, c='r', height=6, width=10, ax=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that in this case, the efficient frontier made using mean-variance optimization looks like a snake when  we plot it using Max Drawdown as risk measure."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Building Portfolios with Constraints on Return and Risk Measures\n",
    "\n",
    "### 3.1 Estimating Risk Limits for the Available Set of Assets\n",
    "\n",
    "This is the first step, we are going to estimate the min and max values for each risk measures. I recommend this step because in large scale problems is not practical to build the entire efficient frontier, it is faster to find the first and last point of the frontier for each risk measure. Using this portfolios we can find the lowest and higher values for each risk measure that we can obtained with the available set of assets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Min Return Std. Dev.:  0.12850703198328273\n",
      "Max Return Std. Dev.:  0.3117956339482211\n",
      "Min Std. Dev.:  0.10373681395071879\n",
      "Max Std. Dev.:  0.21928174077151125\n",
      "\n",
      "Min Return CVaR:  0.11321628554353858\n",
      "Max Return CVaR:  0.3117956338837833\n",
      "Min CVaR:  0.23755816308005528\n",
      "Max CVaR:  0.514017491247525\n",
      "\n",
      "Min Return Max Drawdown:  0.16931957645371168\n",
      "Max Return Max Drawdown:  0.31179563405161437\n",
      "Min Max Drawdown:  0.08596964048463818\n",
      "Max Max Drawdown:  0.18506707877792428\n"
     ]
    }
   ],
   "source": [
    "import riskfolio.RiskFunctions as rk\n",
    "\n",
    "risk = ['MV', 'CVaR', 'MDD']\n",
    "label = ['Std. Dev.', 'CVaR', 'Max Drawdown']\n",
    "alpha = 0.05\n",
    "\n",
    "for i in range(3):\n",
    "    limits = port.frontier_limits(model=model, rm=risk[i], rf=rf, hist=hist)\n",
    "    risk_min = rk.Sharpe_Risk(limits['w_min'], cov=cov, returns=returns, rm=risk[i], rf=rf, alpha=alpha)\n",
    "    risk_max = rk.Sharpe_Risk(limits['w_max'], cov=cov, returns=returns, rm=risk[i], rf=rf, alpha=alpha)    \n",
    "\n",
    "    if 'Drawdown' in label[i]:\n",
    "        factor = 1    \n",
    "    else:\n",
    "        factor = 252**0.5\n",
    "\n",
    "    print('\\nMin Return ' + label[i] + ': ', (mu @ limits['w_min']).item() * 252)\n",
    "    print('Max Return ' + label[i] + ': ',  (mu @ limits['w_max']).item() * 252)\n",
    "    print('Min ' + label[i] + ': ', risk_min * factor)\n",
    "    print('Max ' + label[i] + ': ', risk_max * factor)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see from the above information, that if our objective function uses Std. Dev. as risk measure, we only can obtain returns between 12.85% and 31.17%, and Std. Dev. between 10.37% and 21.92%. The same applies for the other risk measures. This is very useful because if we put a constraint on max CVaR below 23.75% the optimization problem doesn't have a solution."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.2 Calculating the portfolio that maximizes Sharpe ratio with constraints in Return, CVaR and Max Drawdown."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>APA</th>\n",
       "      <th>BA</th>\n",
       "      <th>BAX</th>\n",
       "      <th>BMY</th>\n",
       "      <th>CMCSA</th>\n",
       "      <th>CNP</th>\n",
       "      <th>CPB</th>\n",
       "      <th>DE</th>\n",
       "      <th>HPQ</th>\n",
       "      <th>JCI</th>\n",
       "      <th>...</th>\n",
       "      <th>NI</th>\n",
       "      <th>PCAR</th>\n",
       "      <th>PSA</th>\n",
       "      <th>SEE</th>\n",
       "      <th>T</th>\n",
       "      <th>TGT</th>\n",
       "      <th>TMO</th>\n",
       "      <th>TXT</th>\n",
       "      <th>VZ</th>\n",
       "      <th>ZION</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>weights</th>\n",
       "      <td>0.0000%</td>\n",
       "      <td>2.0465%</td>\n",
       "      <td>8.1614%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>12.1507%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>2.3119%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.5216%</td>\n",
       "      <td>...</td>\n",
       "      <td>10.5176%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>6.1574%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>8.9540%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>13.0883%</td>\n",
       "      <td>0.0000%</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1 rows × 25 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            APA      BA     BAX     BMY   CMCSA      CNP     CPB      DE  \\\n",
       "weights 0.0000% 2.0465% 8.1614% 0.0000% 0.0000% 12.1507% 0.0000% 2.3119%   \n",
       "\n",
       "            HPQ     JCI  ...       NI    PCAR     PSA     SEE       T     TGT  \\\n",
       "weights 0.0000% 0.5216%  ... 10.5176% 0.0000% 6.1574% 0.0000% 0.0000% 8.9540%   \n",
       "\n",
       "            TMO     TXT       VZ    ZION  \n",
       "weights 0.0000% 0.0000% 13.0883% 0.0000%  \n",
       "\n",
       "[1 rows x 25 columns]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rm = 'MV' # Risk measure\n",
    "\n",
    "# Constraint on minimum Return\n",
    "port.lowerret = 0.16/252  # We transform annual return to daily return\n",
    "\n",
    "# Constraint on maximum CVaR\n",
    "port.upperCVaR = 0.26/252**0.5 # We transform annual CVaR to daily CVaR\n",
    "\n",
    "# Constraint on maximum Max Drawdown\n",
    "port.uppermdd = 0.131  # We don't need to transform drawdowns risk measures\n",
    "\n",
    "w = port.optimization(model=model, rm=rm, obj=obj, rf=rf, l=l, hist=hist)\n",
    "\n",
    "display(w.T)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.3 Plotting portfolio composition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plf.plot_pie(w=w, title='Sharpe Mean CVaR', others=0.05, nrow=25, cmap = \"tab20\",\n",
    "                  height=6, width=10, ax=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.4 Calculate Efficient Frontier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>APA</th>\n",
       "      <th>BA</th>\n",
       "      <th>BAX</th>\n",
       "      <th>BMY</th>\n",
       "      <th>CMCSA</th>\n",
       "      <th>CNP</th>\n",
       "      <th>CPB</th>\n",
       "      <th>DE</th>\n",
       "      <th>HPQ</th>\n",
       "      <th>JCI</th>\n",
       "      <th>...</th>\n",
       "      <th>NI</th>\n",
       "      <th>PCAR</th>\n",
       "      <th>PSA</th>\n",
       "      <th>SEE</th>\n",
       "      <th>T</th>\n",
       "      <th>TGT</th>\n",
       "      <th>TMO</th>\n",
       "      <th>TXT</th>\n",
       "      <th>VZ</th>\n",
       "      <th>ZION</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.0000%</td>\n",
       "      <td>1.8981%</td>\n",
       "      <td>8.2791%</td>\n",
       "      <td>1.0930%</td>\n",
       "      <td>2.0058%</td>\n",
       "      <td>8.5300%</td>\n",
       "      <td>2.2487%</td>\n",
       "      <td>1.4020%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>1.2042%</td>\n",
       "      <td>...</td>\n",
       "      <td>13.2983%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>9.6424%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>4.2454%</td>\n",
       "      <td>5.4093%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>9.4884%</td>\n",
       "      <td>0.0000%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.0000%</td>\n",
       "      <td>1.9633%</td>\n",
       "      <td>8.3749%</td>\n",
       "      <td>0.9795%</td>\n",
       "      <td>1.9685%</td>\n",
       "      <td>8.5586%</td>\n",
       "      <td>2.2231%</td>\n",
       "      <td>1.4169%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>1.1581%</td>\n",
       "      <td>...</td>\n",
       "      <td>13.3687%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>9.4316%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>4.2117%</td>\n",
       "      <td>5.4691%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>9.4750%</td>\n",
       "      <td>0.0000%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.0000%</td>\n",
       "      <td>2.0263%</td>\n",
       "      <td>8.4645%</td>\n",
       "      <td>0.8691%</td>\n",
       "      <td>1.9348%</td>\n",
       "      <td>8.5893%</td>\n",
       "      <td>2.1975%</td>\n",
       "      <td>1.4343%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>1.1116%</td>\n",
       "      <td>...</td>\n",
       "      <td>13.4353%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>9.2312%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>4.1745%</td>\n",
       "      <td>5.5244%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>9.4696%</td>\n",
       "      <td>0.0000%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.0000%</td>\n",
       "      <td>2.0869%</td>\n",
       "      <td>8.5351%</td>\n",
       "      <td>0.7595%</td>\n",
       "      <td>1.9144%</td>\n",
       "      <td>8.6356%</td>\n",
       "      <td>2.1686%</td>\n",
       "      <td>1.4670%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>1.0569%</td>\n",
       "      <td>...</td>\n",
       "      <td>13.4912%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>9.0554%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>4.1139%</td>\n",
       "      <td>5.5648%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>9.5036%</td>\n",
       "      <td>0.0000%</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.0000%</td>\n",
       "      <td>2.1459%</td>\n",
       "      <td>8.6037%</td>\n",
       "      <td>0.6529%</td>\n",
       "      <td>1.8947%</td>\n",
       "      <td>8.6806%</td>\n",
       "      <td>2.1404%</td>\n",
       "      <td>1.4988%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>1.0037%</td>\n",
       "      <td>...</td>\n",
       "      <td>13.5455%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>8.8843%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>4.0550%</td>\n",
       "      <td>5.6042%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>0.0000%</td>\n",
       "      <td>9.5367%</td>\n",
       "      <td>0.0000%</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 25 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      APA      BA     BAX     BMY   CMCSA     CNP     CPB      DE     HPQ  \\\n",
       "0 0.0000% 1.8981% 8.2791% 1.0930% 2.0058% 8.5300% 2.2487% 1.4020% 0.0000%   \n",
       "1 0.0000% 1.9633% 8.3749% 0.9795% 1.9685% 8.5586% 2.2231% 1.4169% 0.0000%   \n",
       "2 0.0000% 2.0263% 8.4645% 0.8691% 1.9348% 8.5893% 2.1975% 1.4343% 0.0000%   \n",
       "3 0.0000% 2.0869% 8.5351% 0.7595% 1.9144% 8.6356% 2.1686% 1.4670% 0.0000%   \n",
       "4 0.0000% 2.1459% 8.6037% 0.6529% 1.8947% 8.6806% 2.1404% 1.4988% 0.0000%   \n",
       "\n",
       "      JCI  ...       NI    PCAR     PSA     SEE       T     TGT     TMO  \\\n",
       "0 1.2042%  ... 13.2983% 0.0000% 9.6424% 0.0000% 4.2454% 5.4093% 0.0000%   \n",
       "1 1.1581%  ... 13.3687% 0.0000% 9.4316% 0.0000% 4.2117% 5.4691% 0.0000%   \n",
       "2 1.1116%  ... 13.4353% 0.0000% 9.2312% 0.0000% 4.1745% 5.5244% 0.0000%   \n",
       "3 1.0569%  ... 13.4912% 0.0000% 9.0554% 0.0000% 4.1139% 5.5648% 0.0000%   \n",
       "4 1.0037%  ... 13.5455% 0.0000% 8.8843% 0.0000% 4.0550% 5.6042% 0.0000%   \n",
       "\n",
       "      TXT      VZ    ZION  \n",
       "0 0.0000% 9.4884% 0.0000%  \n",
       "1 0.0000% 9.4750% 0.0000%  \n",
       "2 0.0000% 9.4696% 0.0000%  \n",
       "3 0.0000% 9.5036% 0.0000%  \n",
       "4 0.0000% 9.5367% 0.0000%  \n",
       "\n",
       "[5 rows x 25 columns]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "points = 50 # Number of points of the frontier\n",
    "\n",
    "frontier = port.efficient_frontier(model=model, rm=rm, points=points, rf=rf, hist=hist)\n",
    "\n",
    "display(frontier.T.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting the efficient frontier in Std. Dev. dimension\n",
    "\n",
    "label = 'Max Risk Adjusted Return Portfolio' # Title of point\n",
    "\n",
    "ax = plf.plot_frontier(w_frontier=frontier, mu=mu, cov=cov, returns=returns, rm=rm,\n",
    "                       rf=rf, alpha=0.05, cmap='viridis', w=w, label=label,\n",
    "                       marker='*', s=16, c='r', height=6, width=10, ax=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that the new efficient frontier has a lower bound on returns of 16%."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting the efficient frontier in CVaR dimension\n",
    "\n",
    "ax = plf.plot_frontier(w_frontier=frontier, mu=mu, cov=cov, returns=returns, rm='CVaR',\n",
    "                       rf=rf, alpha=0.05, cmap='viridis', w=w, label=label,\n",
    "                       marker='*', s=16, c='r', height=6, width=10, ax=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that the new efficient frontier has a upper bound on CVaR of 26%."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting the efficient frontier in Max Drawdown dimension\n",
    "\n",
    "ax = plf.plot_frontier(w_frontier=frontier, mu=mu, cov=cov, returns=returns, rm='MDD',\n",
    "                       rf=rf, alpha=0.05, cmap='viridis', w=w, label=label,\n",
    "                       marker='*', s=16, c='r', height=6, width=10, ax=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that the new efficient frontier has a upper bound on Max Drawdown of 13.1%."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
